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02657nam a22004575i 4500 |
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978-3-540-34459-9 |
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DE-He213 |
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20151125021121.0 |
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100301s2006 gw | s |||| 0|eng d |
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|a 9783540344599
|9 978-3-540-34459-9
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|a 10.1007/3-540-34459-4
|2 doi
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|a QA370-380
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|a MAT007000
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|a 515.353
|2 23
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|a Sauvigny, Friedrich.
|e author.
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|a Partial Differential Equations 1
|h [electronic resource] :
|b Foundations and Integral Representations /
|c by Friedrich Sauvigny.
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264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2006.
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300 |
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|a XIV, 437 p. 14 illus., 1 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Universitext
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|a Differentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwer’s Degree of Mapping with Geometric Applications -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in ?n.
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|a This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.
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650 |
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|a Mathematics.
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|a Partial differential equations.
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|a Physics.
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|a Mathematics.
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|a Partial Differential Equations.
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650 |
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|a Mathematical Methods in Physics.
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710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540344575
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830 |
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|a Universitext
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856 |
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|u http://dx.doi.org/10.1007/3-540-34459-4
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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950 |
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|a Mathematics and Statistics (Springer-11649)
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